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Finding the Third Proportional to 73,256,345,870 and 158,682,806,893.50

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Solution

The third proportional to 73,256,345,870 and 158,682,806,893.50 is: 343,727,671,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,256,345,870 : 158,682,806,893.50 = 158,682,806,893.50 : x
  2. Step 2: Convert to fraction form
    73,256,345,870/158,682,806,893.50 = 158,682,806,893.50/x
  3. Step 3: Cross multiply
    73,256,345,870x = 158,682,806,893.50 × 158,682,806,893.50
  4. Step 4: Simplify right side
    73,256,345,870x = 25,180,233,203,599,810,756,608
  5. Step 5: Solve for x
    x = 25,180,233,203,599,810,756,608/73,256,345,870
  6. Step 6: Final answer
    x = 343,727,671,706.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.